What is the critical f(x)=ln(2+sin(x)) ?

The critical f(x)=ln(2+sin(x)) is x= pi/2+2pin,x=(3pi)/2+2pin

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critical f(x)=ln(2+sin(x))

critical points

f (x) = ln (2 + sin (x))

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Solution steps

ln (2 + sin (x))

Find where

f^{'} (x)

is equal to zero or undefined

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

Identify critical points not in

f (x)

domain

Domain of

ln (2 + sin (x)) :

True for all

x \in R

All critical points are in domain

x = \frac{π}{2} + 2 πn, x = \frac{3 π}{2} + 2 πn

x - 4 y = 20, (- 2, 4)

f (x) = \frac{( x + 8 )}{x - 8}

(x + 5)^{2}

f (x) = \frac{60 t}{t ^{2} + 36}

f (x) = \frac{3}{x} + 9

What is the critical f(x)=ln(2+sin(x)) ?
The critical f(x)=ln(2+sin(x)) is x= pi/2+2pin,x=(3pi)/2+2pin